101111011101111 has 8 divisors (see below), whose sum is σ = 147070561601664. Its totient is φ = 61279400667320.

The previous prime is 101111011101049. The next prime is 101111011101151. The reversal of 101111011101111 is 111101110111101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101111011101111 - 2¹⁵ = 101111011068343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111011101151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1531985016651 + ... + 1531985016716.

It is an arithmetic number, because the mean of its divisors is an integer number (18383820200208).

Almost surely, 2^{101111011101111} is an apocalyptic number.

101111011101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111011101111 is a deficient number, since it is larger than the sum of its proper divisors (45959550500553).

101111011101111 is a wasteful number, since it uses less digits than its factorization.

101111011101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063970033381.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101111011101111 its reverse (111101110111101), we get a palindrome (212212121212212).

The spelling of 101111011101111 in words is "one hundred one trillion, one hundred eleven billion, eleven million, one hundred one thousand, one hundred eleven".